2021/03/04 by Andrew P. Staal, Staal, Andrew P.
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.2103.03071
We study the component structures of some standard-graded Hilbert schemes closely related to a Hilbert scheme of curves studied by Gotzmann. In particular, we encounter examples of singular lex-segment points lying on two and three irreducible components. We find further singular lex-segment points at nearby Hilbert schemes. We conclude by showing that the analogous example at the Hilbert scheme of twisted cubics also has a singular lex-segment point.